New trends in general variational inequalities

MA Noor, KI Noor, MT Rassias - Acta Applicandae Mathematicae, 2020 - Springer
It is well known that general variational inequalities provide us with a unified, natural, novel
and simple framework to study a wide class of unrelated problems, which arise in pure and …

Some developments in general variational inequalities

MA Noor - Applied Mathematics and Computation, 2004 - Elsevier
General variational inequalities provide us with a unified, natural, novel and simple
framework to study a wide class of equilibrium problems arising in pure and applied …

Modified popov's explicit iterative algorithms for solving pseudomonotone equilibrium problems

H ur Rehman, P Kumam, Y Je Cho… - Optimization Methods …, 2021 - Taylor & Francis
This paper proposes two algorithms that are based on a subgradient and an inertial scheme
with the explicit iterative method for solving pseudomonotone equilibrium problems. The …

Solving the variational inequality problem defined on intersection of finite level sets

S He, C Yang - Abstract and applied analysis, 2013 - Wiley Online Library
Consider the variational inequality VI (C, F) of finding a point x*∈ C satisfying the property〈
Fx*, x− x*〉≥ 0, for all x∈ C, where C is the intersection of finite level sets of convex …

Dual extragradient algorithms extended to equilibrium problems

TD Quoc, PN Anh, LD Muu - Journal of Global Optimization, 2012 - Springer
In this paper we propose two iterative schemes for solving equilibrium problems which are
called dual extragradient algorithms. In contrast with the primal extragradient methods in …

A new two-step proximal algorithm of solving the problem of equilibrium programming

SI Lyashko, VV Semenov - Optimization and Its Applications in Control …, 2016 - Springer
We propose a new iterative two-step proximal algorithm for solving the problem of
equilibrium programming in a Hilbert space. This method is a result of extension of LD …

Invex equilibrium problems

MA Noor - Journal of Mathematical Analysis and Applications, 2005 - Elsevier
In this paper, we introduce a new class of equilibrium problems, known as invex equilibrium
problems in the setting of invexity. This class of equilibrium problems includes equilibrium …

The inertial sub-gradient extra-gradient method for a class of pseudo-monotone equilibrium problems

H Rehman, P Kumam, W Kumam, M Shutaywi… - Symmetry, 2020 - mdpi.com
In this article, we focus on improving the sub-gradient extra-gradient method to find a
solution to the problems of pseudo-monotone equilibrium in a real Hilbert space. The weak …

The extragradient algorithm with inertial effects extended to equilibrium problems

H Rehman, P Kumam, AB Abubakar, YJ Cho - Computational and Applied …, 2020 - Springer
In this paper, two algorithms are proposed for a class of pseudomonotone and strongly
pseudomonotone equilibrium problems. These algorithms can be viewed as a extension of …

Auxiliary principle technique for equilibrium problems

MA Noor - Journal of Optimization Theory and Applications, 2004 - Springer
In this paper, we use the auxiliary principle technique to suggest and analyze a number of
iterative methods for solving mixed quasiequilibrium problems. We prove that the …